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Finding the Fourth Proportional to 329,706.79, 494,554.82 and 105,064.19

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Solution

The fourth proportional to 329,706.79, 494,554.82 and 105,064.19 is: 157,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,706.79 : 494,554.82 = 105,064.19 : x
  2. Step 2: Convert to fraction form
    329,706.79/494,554.82 = 105,064.19/x
  3. Step 3: Cross multiply
    329,706.79x = 494,554.82 × 105,064.19
  4. Step 4: Simplify right side
    329,706.79x = 51,960,000,430.38
  5. Step 5: Solve for x
    x = 51,960,000,430.38/329,706.79
  6. Step 6: Final answer
    x = 157,594.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.